CP Geometry
Name ________________________________
Unit 9 Test Review
Date _____________________ Period ______
1. About 45 of every 300 apples picked at the Newbury Apply Orchard are rotten. If 3560 apples were
picked one week, about how many apples were rotten?
2. The model of your favorite car is 16 inches long and the car’s actual length is 22 feet. Determine the
ratio of the length of the model to the actual length of the car.
3. The ratio of the two acute angles in a right triangle is 5 : 13. What is the measure of each angle in the
right triangle?
For 4 and 5, solve the proportion.
4.
5.
6x x + 3
=
5
3
For 6 and 7, determine if the figures are similar. If they are, write a similar statement and state the
scale factor. If they are not, give a brief explanation.
6.
7. In 8 and 9, the figures are similar. State the scale factor and solve for x.
8. ABCD : NMPO
9. VXYZ :VEFD
Solve for x.
10.
11.
12.
13. The figures below are similar. Compare the first one to the second one. Find the scale factor, perimeter
ratio and area ratio.
SF = __________
PR = __________
AR = __________
14. The area of a smaller regular nonagon is 34 m2. What is the area of a regular nonagon with sides five
time the sides of the smaller nonagon?
15. The longer sides of a parallelogram are 6 ft. The longer sides of a similar parallelogram are 15 ft. the
area of the smaller parallelogram is 27 ft2. What is the area of the larger parallelogram?
16. The areas of two similar quadrilaterals are 27 m2 and 48 m2. What is the scale factor and perimeter
ratio?
17. Two similar cylinders have volumes of 200π and 25π in.3. What is the scale factor of these similar
cylinders?
18. Two cubes have surface areas of 64 in.2 and 49 in.2. What is their scale factor and volume ratio?
19. Two similar solids have surface areas of 45 in.2 and 80 in.2. The volume of the larger solid is 320 in.3.
What is the volume of the smaller solid?
20. Two similar figures have volumes of 12 cm3 and 96 cm3. The surface area of the smaller figure is 12
cm2. What is the surface are of the larger figure?